A Problem of Coefficient Determination in Parabolic Equations Solved as Moment Problem

The problem is to find a(t) y w(x; t) such that wt = a(t) (wx)x+r(x; t) under the initial condition w(x; 0) =fi(x) and the boundary conditions w(0; t) = 0 ; wx(0; t) = wx(1; t)+alfa w(1; t) about a region D ={(x; t); 0 <x < 1; t >0}. In addition it must be fulfilled the integral...

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Autor principal: Pintarelli, María Beatriz
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
Materias:
Matemática
generalized moment problem
integral equations
inverse problem
parabolic PDEs
truncated expansion method
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/78707
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-78707
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
generalized moment problem
integral equations
inverse problem
parabolic PDEs
truncated expansion method
spellingShingle Matemática
generalized moment problem
integral equations
inverse problem
parabolic PDEs
truncated expansion method
Pintarelli, María Beatriz
A Problem of Coefficient Determination in Parabolic Equations Solved as Moment Problem
topic_facet Matemática
generalized moment problem
integral equations
inverse problem
parabolic PDEs
truncated expansion method
description The problem is to find a(t) y w(x; t) such that wt = a(t) (wx)x+r(x; t) under the initial condition w(x; 0) =fi(x) and the boundary conditions w(0; t) = 0 ; wx(0; t) = wx(1; t)+alfa w(1; t) about a region D ={(x; t); 0 <x < 1; t >0}. In addition it must be fulfilled the integral of w (x, t) with respect to x is equal to E(t) where fi(x) , r(x; t) and E(t) are known functions and alfa is an arbitrary real number other than zero. The objective is to solve the problem as an application of the inverse moment problem. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on moments problem. In addition, the method is illustrated with several examples.
format Articulo
Articulo
author Pintarelli, María Beatriz
author_facet Pintarelli, María Beatriz
author_sort Pintarelli, María Beatriz
title A Problem of Coefficient Determination in Parabolic Equations Solved as Moment Problem
title_short A Problem of Coefficient Determination in Parabolic Equations Solved as Moment Problem
title_full A Problem of Coefficient Determination in Parabolic Equations Solved as Moment Problem
title_fullStr A Problem of Coefficient Determination in Parabolic Equations Solved as Moment Problem
title_full_unstemmed A Problem of Coefficient Determination in Parabolic Equations Solved as Moment Problem
title_sort problem of coefficient determination in parabolic equations solved as moment problem
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/78707
work_keys_str_mv AT pintarellimariabeatriz aproblemofcoefficientdeterminationinparabolicequationssolvedasmomentproblem
AT pintarellimariabeatriz problemofcoefficientdeterminationinparabolicequationssolvedasmomentproblem
bdutipo_str Repositorios
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